List questions from integral-operators

26

Views

What guarantees that the adjoint of a suitable integral operator, e.g. a Hilbert-Schmidt operator, is again an integral operator with a kernel?

Published on 20 Feb 2024 - 11:25

34

Views

Proving that $(Sf)(x)=1+\int_0^x t^2f(t)\,dt$ is $K$-Lipschitz

Published on 12 Jan 2015 - 23:27

840

Views

Norm of Integral Operator on $E=\{u \in C[0,1]\ ,\ u(0) = 0\}$

Published on 14 Jan 2015 - 17:21

921

Views

Redundancy in the Laplace transform and Mellin's inverse formula

Published on 29 Jan 2015 - 22:49

560

Views

Several questions about integral operators.

Published on 10 Mar 2015 - 14:25

473

Views

Sufficient conditions on integration kernel for continuity of the integral operator

Published on 18 Apr 2015 - 20:22

143

Views

Proof Check for Compactness of Integral Operator

Published on 20 Apr 2015 - 11:47

218

Views

Integro-differential eigenvalue problem

Published on 25 Feb 2026 - 0:33

645

Views

Operator on $L^2 (0,1)$ defined by convolution with $|x-y|^{-\alpha}$

Published on 04 Jul 2015 - 15:51

323

Views

non compact closed range operator

Published on 06 Jul 2015 - 13:47

1.1k

Views

Norm of the integral operator in $L^2(\mathbb{R})$.

Published on 20 Jul 2015 - 12:05

1.5k

Views

Proof of the integral operator in $L^2(\mathbb{R})$ being self-adjoint "by hand"

Published on 02 Aug 2015 - 14:05

108

Views

How to solve this special case of Fredholm Integral Equation of the First Kind

Published on 17 Aug 2015 - 14:34

62

Views

Showing that a certain operator maps to $\mathscr{C}([0,1])$

Published on 24 Sep 2015 - 13:01

621

Views

Contraction operator

Published on 24 Mar 2026 - 23:37

List Question

What guarantees that the adjoint of a suitable integral operator, e.g. a Hilbert-Schmidt operator, is again an integral operator with a kernel?

Proving that $(Sf)(x)=1+\int_0^x t^2f(t)\,dt$ is $K$-Lipschitz

Norm of Integral Operator on $E=\{u \in C[0,1]\ ,\ u(0) = 0\}$

Redundancy in the Laplace transform and Mellin's inverse formula

Several questions about integral operators.

Sufficient conditions on integration kernel for continuity of the integral operator

Proof Check for Compactness of Integral Operator

Integro-differential eigenvalue problem

Operator on $L^2 (0,1)$ defined by convolution with $|x-y|^{-\alpha}$

non compact closed range operator

Norm of the integral operator in $L^2(\mathbb{R})$.

Proof of the integral operator in $L^2(\mathbb{R})$ being self-adjoint "by hand"

How to solve this special case of Fredholm Integral Equation of the First Kind

Showing that a certain operator maps to $\mathscr{C}([0,1])$

Contraction operator

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